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Finding the Fourth Proportional to 30,870.42, 42,601.14 and 16,723.32

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Solution

The fourth proportional to 30,870.42, 42,601.14 and 16,723.32 is: 23,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.42 : 42,601.14 = 16,723.32 : x
  2. Step 2: Convert to fraction form
    30,870.42/42,601.14 = 16,723.32/x
  3. Step 3: Cross multiply
    30,870.42x = 42,601.14 × 16,723.32
  4. Step 4: Simplify right side
    30,870.42x = 712,432,496.58
  5. Step 5: Solve for x
    x = 712,432,496.58/30,870.42
  6. Step 6: Final answer
    x = 23,078.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.